On Thursday, U.S. President Donald Trumpsaid in a publicly disclosed letter to the North Korean leader that the cancellation of the planned June 12 summit with the North is due to the "tremendous anger and open hostility displayed in your most recent statement".

Mr Moon told reporters on Sunday that Mr Kim "again made clear his commitment to a complete denuclearisation of the Korean Peninsula", and told the South Korean leader that he is willing to cooperate to end confrontation and work toward peace for the sake of the successful North Korea-US summit.

Moon, who returned to Seoul on Thursday morning after meeting Trump in Washington in a bid to keep the high-stakes U.S.

Moon said the Saturday's summit - just the fourth-ever inter-Korean leaders' meeting - had been requested by Kim.

Meanwhile, Trump spoke to reporters about the potential summit from the Oval Office on Saturday night, where he had gathered with lawmakers to celebrate the return of Utah man Joshua Holt, who had been jailed in Venezuela for almost two years and finally freed.

Speaking on the condition of anonymity, the official said Seoul's intelligence chief Suh Hoon and his North Korean counterpart, Kim Yong-chol have been in close communication since the April 27th summit.

In a tweet, Trump the summit was "likely" to happen as scheduled June 12.

During Saturday's inter-Korean summit, the Korean leaders agreed to "positively cooperate with each other as ever to improve (North Korea)-US relations and establish (a) mechanism for permanent and durable peace".

"We're doing very well in terms of the summit with North Korea", Mr. Trump said at the White House.

"The White House pre-advance team for Singapore will leave as scheduled in order to prepare should the summit take place", White House press secretary Sarah Sanders said.

Mr Moon said he told Mr Kim that Mr Trump has a "firm resolve" to end hostile relations with North Korea and initiate economic cooperation if Kim implements "complete denuclearisation".

"Chairman Kim agreed on that", he added. Global journalists were present, but the US government can't verify the site's destruction.

Analysts have said remarks by White House national security adviser John Bolton and Vice President Mike Pence urging a "Libya-style" coerced denuclearization of the North had amplified lingering concerns by Kim about his regime's safety.

At their meeting, Moon and Kim also agreed to have their top officials meet again June 1 and to set up separate talks between their top generals and Red Cross officials to discuss how to ease military tensions and resume reunions of families separated by the 1950-53 Korean War. "That hasn't changed", the USA leader said. The US has banned its citizens from entering North Korea, which has a history of detaining US citizens.

Their talks at the Panmunjom border village, which South Korean officials said lasted two hours, came after their April 27 meeting, the first inter-Korean summit in more than a decade that was also held at the same venue.

The agency said the two leaders had reached a "satisfactory consensus" and expressed "their stand to make joint efforts for the denuclearization of the Korean peninsula".

Video and a photo released by South Korea's presidential Blue House on Saturday showed Mr. Kim hugging Mr. Moon and kissing him on the cheek three times as he saw Mr. Moon off after their meeting at Tongilgak, the North's building in the truce village, which lies in the Demilitarized Zone (DMZ) - the 2.5-mile (4 km) wide buffer that runs along the heavily armed military border.

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